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Finding the Fourth Proportional to 886.25, 1,328.61 and 365.93

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Solution

The fourth proportional to 886.25, 1,328.61 and 365.93 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.25 : 1,328.61 = 365.93 : x
  2. Step 2: Convert to fraction form
    886.25/1,328.61 = 365.93/x
  3. Step 3: Cross multiply
    886.25x = 1,328.61 × 365.93
  4. Step 4: Simplify right side
    886.25x = 486,178.26
  5. Step 5: Solve for x
    x = 486,178.26/886.25
  6. Step 6: Final answer
    x = 548.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.